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Finding the Fourth Proportional to 233,067, 321,642.09 and 131,097.24

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Solution

The fourth proportional to 233,067, 321,642.09 and 131,097.24 is: 180,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,067 : 321,642.09 = 131,097.24 : x
  2. Step 2: Convert to fraction form
    233,067/321,642.09 = 131,097.24/x
  3. Step 3: Cross multiply
    233,067x = 321,642.09 × 131,097.24
  4. Step 4: Simplify right side
    233,067x = 42,166,390,266.83
  5. Step 5: Solve for x
    x = 42,166,390,266.83/233,067
  6. Step 6: Final answer
    x = 180,919.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.